Is there a way to move multiple objects together?
why not parent them CTRL+P (keep offset) under an "Empty" (to use it as a control object) which will be also nested under the main object that you want to inherit the movement from ?

Another method would be to use constraints (like copy location) but I wouldn't suggest you to do it for such simple task.

PS : You may also parent them directly to the main object that you want to inherit the movement of course.